You need to understand that when Fate attaches a bonus to an item, it also attaches a prefix and/or suffix to the name. This name extension provides a clue of what properties there are.

There are four types of extensions:A. GradesWeapons and armor come in different grades. Apart from the default grade, you may find Superior, Exceptional, and Flawless prefixes on items. These grades denote an improved damage or defense of a weapon, but they are not accompanied by any increased requirements.

Note that not all Grades appear in all difficulty levels. In the Page difficulty, Graded Items will not be found at all. In Adventurer, only Superior items are available. In Hero difficulty, you also will find Exceptional items. Only in the Legendary difficulty will you find Flawless weapons or armor.

B. RanksIn addition to Grade prefixes, an item can have a Rank. Elite and Legendary items are far more powerful than their average counterparts, and their requirements are higher as well, including Fame requirements.

Thus, Rank prefixes denote a powerful version of a normal weapon, just like Grades. However, unlike Grades, Ranks introduce much higher requirements.

C. Common PrefixesBecause there are so many possible bonuses that can be added to a weapon, there are many name extensions that accompany them.

For instance, the prefix "Flaming" denotes that a base item now inflicts Fire Damage.

D. Common SuffixesJust like prefixes, common suffixes can appear. These typically are not very helpful in telling what bonuses they represent. For example, the "of the Fox" prefix appears when an item has a Mana Recovery bonus.

I'm afraid that no one has yet compiled a list of these common extensions. Somehow, Fate does not "stack" these name extensions when lots of bonuses of a particular type exist, but picks only one or a couple to use.